Question

Solve the following word problem by setting up systems of equations: Rob hosted a party last week. He purchased 24 pizzas and 24 sodas for $282.00. This week he purchased 15 pizzas and 8 sodas for $157.00. Determine the cost for each pizza and soda.

Answer 1

Answer:$2.75 for soda 9$ for pizza

Step-by-step explanation: Let p = pizza and s = soda. For the first week, we have the following:

24p+24s = 282

Now, for the next week, we have:

15p + 8s = 157.

We can multiply the equation 15p+8s=157 by -3 which ends up equaling

-45p -24s = -471

Now, we add them.

24p+24s = 282

-45p-24s = -471.

The s cancels out and we have -21p = -189. each pizza costs $9, so each soda costs (157-135)/8 which equals $2.75